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135439616 = 281340697
BaseRepresentation
bin10000001001010…
…10010100000000
3100102212001020002
420010222110000
5234133031431
621234535132
73233134454
oct1004522400
9312761202
10135439616
116a4a7874
12394374a8
13220a16b0
1413db8664
15bd553cb
hex812a500

135439616 has 36 divisors (see below), whose sum is σ = 291153492. Its totient is φ = 62509056.

The previous prime is 135439613. The next prime is 135439621. The reversal of 135439616 is 616934531.

It can be written as a sum of positive squares in 2 ways, for example, as 7840000 + 127599616 = 2800^2 + 11296^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 135439616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135439613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17021 + ... + 23676.

It is an arithmetic number, because the mean of its divisors is an integer number (8087597).

Almost surely, 2135439616 is an apocalyptic number.

135439616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135439616 is an abundant number, since it is smaller than the sum of its proper divisors (155713876).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135439616 is an equidigital number, since it uses as much as digits as its factorization.

135439616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40726 (or 40712 counting only the distinct ones).

The product of its digits is 58320, while the sum is 38.

The square root of 135439616 is about 11637.8527229038. The cubic root of 135439616 is about 513.5490197617.

The spelling of 135439616 in words is "one hundred thirty-five million, four hundred thirty-nine thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 3328 40697 81394 162788 325576 529061 651152 1058122 1302304 2116244 2604608 4232488 5209216 8464976 10418432 16929952 33859904 67719808 135439616